{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c982abca",
   "metadata": {},
   "source": [
    "# Interpretation 3: KAN Compiler"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b9ec6c4",
   "metadata": {},
   "source": [
    "We have shown in many examples how to extract symbolic formulas from KANs. Now we want to consider the reverse task: compiling a symbolic formula into KANs. This might be needed for many reasons. One use case is that we have prior knowledge which is the approximate ground truth (empirical/constitutive laws etc.) and we want to build this knowledge into neural networks and only fine tune the network to real data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d8f94f0f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan.compiler import kanpiler\n",
    "from sympy import *\n",
    "from kan.utils import create_dataset\n",
    "import torch\n",
    "\n",
    "input_variables = x,y = symbols('x y')\n",
    "expr = exp(sin(pi*x)+y**2)\n",
    "\n",
    "model = kanpiler(input_variables, expr)\n",
    "\n",
    "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,0]) + x[:,1]**2)\n",
    "dataset = create_dataset(f, n_var=2)\n",
    "model.get_act(dataset)\n",
    "\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "535c253f",
   "metadata": {},
   "source": [
    "if you want more complicated formulas, you can load in an equation in the Feynman dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "e9cf1b61",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 36 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan.feynman import get_feynman_dataset\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "problem_id = 36 # problem_id in 1-120\n",
    "input_variables, expr, f, ranges = get_feynman_dataset(problem_id)\n",
    "n_var = len(input_variables)\n",
    "model = kanpiler(input_variables, expr)\n",
    "\n",
    "dataset = create_dataset(f, n_var=n_var, ranges=ranges)\n",
    "model.get_act(dataset)\n",
    "#model.plot(in_vars=input_variables, out_vars=[expr], beta=10000, title='P{}'.format(problem_id))\n",
    "model.plot(in_vars=input_variables, out_vars=[symbols('omega')], beta=10000)\n",
    "#plt.savefig('./fig1.pdf', bbox_inches='tight', dpi=200)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d1db913e",
   "metadata": {},
   "source": [
    "We can check that the model indeed achieves zero loss (near machine precision) on the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "910c99a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor(1.5383e-15, grad_fn=<MeanBackward0>)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "torch.mean((model(dataset['train_input'])-dataset['train_label'])**2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35c347d2",
   "metadata": {},
   "source": [
    "Assume we have a dataset for which the symbolic formula is only an approximate ground truth, we want to train on the real data to fine tune the model. The current model has the symbolic front turned on and the spline front turned off. So only the affine parameters in the symbolic equations are trainable. Depending on how much expressive power you would like, you may need:\n",
    "\n",
    "* If you want to keep the symbolic functions, but just train the affine parameters, no need to do anything.\n",
    "* If you want to the functions to be trainable, call model.perturb(). If you want only the currently active functions to be trainable while the currently dead functions to remain dead, use mode='minimal'. Otherwise if you want to allow the currently dead functions to be active, use mode = 'all' (by default).\n",
    "* If you think the ground truth should be more complicated than the current network, you can expand it first using expand_width and/or expand_depth, and then use model.perturb().\n",
    "\n",
    "In the following, we present the most complicated case where you want to expand the network first."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63af424e",
   "metadata": {},
   "source": [
    "step 1: expand depth, add an extra linear function in the end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "381b8a03",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 38 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.expand_depth()\n",
    "model.get_act(dataset)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "27a934fe",
   "metadata": {},
   "source": [
    "step 2: add two addition nodes in layer 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "5c5f92c9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.3\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 52 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.expand_width(1, 2)\n",
    "model.get_act(dataset)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3459fc85",
   "metadata": {},
   "source": [
    "step 3: add two multiplication nodes in layer 2, with arity 2 and 3."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "ec1bfb11",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.4\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 86 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.expand_width(2, 2, sum_bool=False, mult_arity=[2,3])\n",
    "model.get_act(dataset)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "038ea175",
   "metadata": {},
   "source": [
    "step 4: now we perturb all edges (mode='minimal' only perturb the currently active edges, mode='all' perturbs all neurons)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "45c8e738",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.5\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 86 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.perturb(mag=0.1, mode='all')\n",
    "model.get_act(dataset)\n",
    "model.plot(metric='forward_n')\n",
    "# purple means both symbolic front (red) and spline front (black) are active"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "6feae91b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 86 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(beta=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "eabf7aa3",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
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